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Finding the Fourth Proportional to 528.45, 791.41 and 280.99

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Solution

The fourth proportional to 528.45, 791.41 and 280.99 is: 420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.45 : 791.41 = 280.99 : x
  2. Step 2: Convert to fraction form
    528.45/791.41 = 280.99/x
  3. Step 3: Cross multiply
    528.45x = 791.41 × 280.99
  4. Step 4: Simplify right side
    528.45x = 222,378.30
  5. Step 5: Solve for x
    x = 222,378.30/528.45
  6. Step 6: Final answer
    x = 420.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.